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On the logarithmic bipartite fidelity of the open XXZ spin chain at $\Delta=-1/2$

by Christian Hagendorf, Gilles Parez

Submission summary

As Contributors: Christian Hagendorf · Gilles Parez
Arxiv Link: https://arxiv.org/abs/2111.15223v1 (pdf)
Date submitted: 2022-01-03 11:19
Submitted by: Hagendorf, Christian
Submitted to: SciPost Physics
Academic field: Physics
Specialties:
  • Mathematical Physics
  • Quantum Physics
  • Statistical and Soft Matter Physics
Approach: Theoretical

Abstract

The open XXZ spin chain with the anisotropy $\Delta=-\frac12$ and a one-parameter family of diagonal boundary fields is studied at finite length. A determinant formula for an overlap involving the spin chain's ground-state vectors for different lengths is found. The overlap allows one to obtain an exact finite-size formula for the ground state's logarithmic bipartite fidelity. The leading terms of its asymptotic series for large chain lengths are evaluated. Their expressions confirm the predictions of conformal field theory for the fidelity.

Current status:
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Submission 2111.15223v1 on 3 January 2022

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